Abstract and Applied Analysis
Volume 1 (1996), Issue 4, Pages 407-415
doi:10.1155/S108533759600022X
On quasilinear elliptic equations in ℝN
C.O. Alves1
, J.V. Concalves2
and L.A. Maia2
1Departamento de Matemática, Universidade Federal da Paraiba, Campina Grande-(PB), 58100-240 -, Brazil
2Departamento de Matemática, Universidade de Brasília, Brasilia 70.910-900, DF, Brazil
Abstract
In this note we give a result for the operator p-Laplacian complementing a theorem by Brézis and Kamin concerning a necessary and sufficient condition for the equation −Δu=h(x)uq in ℝN, where 0<q<1, to have a bounded positive solution. While Brézis and Kamin use the method of sub and super solutions, we employ variational arguments for the existence of solutions.